CBSE Class 10 Maths (Basic) 2025 · Paper 430/S/1 · Question 37
In a charming village, there is a street called 'Maplewood Avenue', where the houses are numbered from to . A community group has decided to undertake a green renovation project, aiming to install solar panels on the houses. They have a few questions before they begin the project.
- (i)How many houses are there on 'Maplewood Avenue'?[1]
- (ii)The house numbers follow an Arithmetic Progression. What is the first term of the A.P. and the common difference?[1]
- (iii)(a)If the group wanted to calculate the sum of all house numbers from to , how much would that be?[2]
- (iii)(b)What is the sum of the house numbers between and ? (OR alternative to (iii)(a))[2]
Answer
(i) There are houses; (ii) First term , common difference ; (iii)(a) The sum of all house numbers from to is ; (iii)(b) The sum of the house numbers between and (houses to ) is .
🔒 Step-by-step solution
Sign up free to see every step of how it is worked out.
From the board paper
More questions from Arithmetic Progressions
Class 10 Maths — every question with an expert-verified, step-by-step solution.
- Q1 In which of the following situations does the list of numbers involv…
- Q2 Write the first four terms of the AP when the first term a and t…
- Q3 For the following APs, write the first term and the common diff…
- Q4 Which of the following are APs? If they form an AP, find the commo…
- Q1 Fill in the blanks in the following table, given that a is the fir…
- Q2 Choose the correct choice in the following and justify: (i) 30th te…
- Q3 In the following APs, find the missing terms in the boxes: (i) 2,…
- Q4 Which term of the AP: 3, 8, 13, 18, …, is 78?
- Q5 Find the number of terms in each of the following APs: (i) 7, 13,…
- Q6 Check whether -150 is a term of the AP: 11, 8, 5, 2, …
- Q7 Find the 31st term of an AP whose 11th term is 38 and the 16t…
- Q8 An AP consists of 50 terms of which 3rd term is 12 and the last…
All 441 questions on Arithmetic Progressions → Browse all Maths chapters →